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Prime factors of consecutive integers
Author(s):
Mark
Bauer;
Michael
A.
Bennett.
Journal:
Math. Comp.
77
(2008),
2455-2459.
MSC (2000):
Primary 11N25;
Secondary 11D09
Posted:
May 20, 2008
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Additional information
Abstract:
This note contains a new algorithm for computing a function  introduced by Erdős to measure the minimal gap size in the sequence of integers at least one of whose prime factors exceeds  . This algorithm enables us to show that  is not monotone, verifying a conjecture of Ecklund and Eggleton.
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Additional Information:
Mark
Bauer
Affiliation:
Department of Mathematics, University of Calgary, Calgary AB
Email:
mbauer@math.ucalgary.ca
Michael
A.
Bennett
Affiliation:
Department of Mathematics, University of British Columbia, Vancouver BC
Email:
bennett@math.ubc.ca
DOI:
10.1090/S0025-5718-08-02134-0
PII:
S 0025-5718(08)02134-0
Received by editor(s):
March 14, 2007
Posted:
May 20, 2008
Additional Notes:
The authors were supported in part by grants from NSERC
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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